Research Article
Composite Differential Evolution with Modified Oracle Penalty Method for Constrained Optimization Problems
Table 2
The comparison results of different methods.
(a) |
| Function | HEA-ACT [5] | ES-DE [8] | Worst | Best | Mean | Std. | Worst | Best | Mean | Std. |
| | −8.8 | −15 | −11.9 | 2.57320 | −13.0000 | −15.0000 | −14.8511 | | | −0.6066 | −0.8036 | −0.7405 | 0.04906 | −0.530496 | −0.803311 | −0.738181 | | | 0 | −0.2864 | −0.0169 | 0.06382 | −1.0000 | −1.0000 | −1.0000 | | | −30665.5 | −30665.5 | −30665.5 | 0 | −30665.54 | −30665.54 | −30665.54 | | | 5126.4965 | 5126.4965 | 5126.4965 | 0 | 5129.420 | 5126.500 | 5127.290 | | | −6961.8 | −6961.8 | −6961.8 | 0 | −6961.814 | −6961.814 | −6961.814 | | | 29.0591 | 24.306 | 25.048 | 1.37164 | 24.3077 | 24.3062 | 24.3065 | | | −0.09582 | −0.09582 | −0.09582 | 0 | −0.095825 | −0.095825 | −0.095825 | | | 680.63 | 680.63 | 680.63 | 0 | 680.6301 | 680.6301 | 680.6301 | | | 8832.12 | 7049.25 | 7290.75 | 379.12207 | 7050.22 | 7049.253 | 7049.418 | | | 1 | 1 | 1 | 0 | 0.7500 | 0.7500 | 0.7500 | |
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(b) |
| Function | DUVDE + APM [9] | MOCoDE | Worst | Best | Mean | Std. | Worst | Best | Mean | Std. |
| | −6 | −15 | −12.5 | 2.37254 | −15 | −15 | −15 | | | −0.6709 | −0.8036 | −0.7688 | 0.03568 | −0.79818 | −0.80362 | −0.80351 | 0.00076891 | | −0 | −1.0 | −0.2015 | 0.34508 | −0.066992 | −1.0005 | −0.77806 | 0.23028 | | −30665.5 | −30665.5 | −30665.5 | 0 | −30665.5387 | −30665.5387 | −30665.5387 | | | 5126.4965 | 5126.4965 | 5126.4965 | 0 | 5191.2685 | 5126.4967 | 5131.5314 | 14.322 | | −6961.8 | −6961.8 | −6961.8 | 0 | −6961.8139 | −6961.8139 | −6961.8139 | | | 121.747 | 24.306 | 30.404 | 21.56839 | 24.3062 | 24.3062 | 24.3062 | | | −0.09582 | −0.09582 | −0.09582 | 0 | −0.095825 | −0.095825 | −0.095825 | | | 680.63 | 680.63 | 680.63 | 0.00003 | 680.6301 | 680.6301 | 680.6301 | | | 8332.12 | 7049.25 | 7351.17 | 525.62430 | 7049.248 | 7049.248 | 7049.248 | | | 1 | 0.75 | 0.98749 | 0.05590 | 0.7499 | 0.7499 | 0.7499 | |
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Result in boldface indicates that a better result is reached.
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(c) |
| Function | SAMO-GA [10] | SAMO-DE [10] | Worst | Best | Mean | Std. | Worst | Best | Mean | Std. |
| | — | −15.0000 | −15.0000 | | — | −15.0000 | −15.0000 | | | — | −0.80359052 | −0.79604769 | | — | −0.8036191 | −0.79873521 | | | — | −1.0005 | −1.0005 | | — | −1.0005 | −1.0005 | | | — | −30665.5386 | −30665.5386 | | — | −30665.5386 | −30665.5386 | | | — | 5126.497 | 5127.976432 | | — | 5126.497 | 5126.497 | | | — | −6961.813875 | −6961.813875 | | — | −6961.813875 | −6961.813875 | | | — | 24.3062 | 24.4113 | | — | 24.3062 | 24.3096 | | | — | −0.09582504 | −0.09582504 | | — | −0.09582504 | −0.09582504 | | | — | 680.630 | 680.634 | | — | 680.630 | 680.630 | | | — | 7049.248 | 7144.40311 | | — | 7049.2481 | 7059.81345 | | | — | 0.7499 | 0.7499 | | — | 0.7499 | 0.7499 | |
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